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Search: MSC category 14E07 ( Birational automorphisms, Cremona group and generalizations )

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1. CJM 2016 (vol 68 pp. 541)

Garcia-Armas, Mario
 Strongly Incompressible Curves Let $G$ be a finite group. A faithful $G$-variety $X$ is called strongly incompressible if every dominant $G$-equivariant rational map of $X$ onto another faithful $G$-variety $Y$ is birational. We settle the problem of existence of strongly incompressible $G$-curves for any finite group $G$ and any base field $k$ of characteristic zero. Keywords:algebraic curves, group actions, Galois cohomologyCategories:14L30, 14E07, 14H37

2. CJM 2014 (vol 67 pp. 923)

Pan, Ivan Edgardo; Simis, Aron
 Cremona Maps of de JonquiÃ¨res Type This paper is concerned with suitable generalizations of a plane de JonquiÃ¨res map to higher dimensional space $\mathbb{P}^n$ with $n\geq 3$. For each given point of $\mathbb{P}^n$ there is a subgroup of the entire Cremona group of dimension $n$ consisting of such maps. One studies both geometric and group-theoretical properties of this notion. In the case where $n=3$ one describes an explicit set of generators of the group and gives a homological characterization of a basic subgroup thereof. Keywords:Cremona map, de JonquiÃ¨res map, Cremona group, minimal free resolutionCategories:14E05, 13D02, 13H10, 14E07, 14M05, 14M25

3. CJM 2008 (vol 60 pp. 64)

Daigle, Daniel
 Classification of Linear Weighted Graphs Up to Blowing-Up and Blowing-Down We classify linear weighted graphs up to the blowing-up and blowing-down operations which are relevant for the study of algebraic surfaces. Keywords:weighted graph, dual graph, blowing-up, algebraic surfaceCategories:14J26, 14E07, 14R05, 05C99
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